2514365664 has 24 divisors (see below), whose sum is σ = 6600210120. Its totient is φ = 838121856.

The previous prime is 2514365641. The next prime is 2514365683. The reversal of 2514365664 is 4665634152.

2514365664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13095559 + ... + 13095750.

It is an arithmetic number, because the mean of its divisors is an integer number (275008755).

Almost surely, 2^2514365664 is an apocalyptic number.

2514365664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2514365664 is an abundant number, since it is smaller than the sum of its proper divisors (4085844456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2514365664 is a wasteful number, since it uses less digits than its factorization.

2514365664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26191322 (or 26191314 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 2514365664 is about 50143.4508585119. The cubic root of 2514365664 is about 1359.8034721787.

The spelling of 2514365664 in words is "two billion, five hundred fourteen million, three hundred sixty-five thousand, six hundred sixty-four".